Quick Search:
Prog. Theor. Phys. Vol. 104 No. 1 (2000) pp. 55-61
Localized State in a Nonlinear Resistor Network
Hidetsugu Sakaguchi
Department of Applied Sciences for Electronics and Materials
Interdisciplinary Graduate School of Engineering Sciences
Kyushu University, Kasuga 816-8580, Japan
(Received March 3, 2000)
Abstract:
A simple model equation is proposed to understand a mechanism of localized
states
in dissipative systems.
This is a very simplified model
for filament-like discharge patterns and can be expressed as
a nonlinear resistor network model through spatial discretization.
The model equation is piecewise linear and can be solved exactly.
URL :
http://ptp.ipap.jp/link?PTP/104/55/
DOI : 10.1143/PTP.104.55
References:
-
J. J. Niemela, G. Ahlers and D. S. Cannell, Phys. Rev. Lett. 64 (1990), 1365[APS].
-
P. Kolodner, Phys. Rev. Lett. 69 (1992), 2519[APS].
-
M. Dennin, G. Ahlers and D. S. Cannell, Phys. Rev. Lett. 77 (1996), 2475[APS].
- H. R. Brand, C. Fradin, P. L. Finn, W. Pesch and P. E. Cladis, Phys. Lett. A235 (1997), 508.
- P. de Kepper, J.-J. Perraud, B. Rudovics and E. Dulos, Int. J. Bif. Chaos 4 (1994), 1215.
-
K. J. Lee, W. D. McCormick, J. E. Pearson and H. L. Swinney, Nature 369 (1994), 215[CrossRef].
-
F. Melo, P. B. Umbanhowar and H. L. Swinney, Phys. Rev. Lett. 75 (1995), 3838[APS].
- O. Thual and S. Fauve, J. de Phys. 49 (1988), 1829.
- H. Sakaguchi and H. R. Brand, Physica D117 (1998), 95.
- H. Sakaguchi, Prog. Theor. Phys. 87 (1992), 1049[PTP].
-
B. A. Malomed and H. G. Winful, Phys. Rev. E53 (1996), 5365[APS].
- Y. Pomeau, Physica D23 (1986) 3.
- H. Sakaguchi and H. R. Brand, Physica D97 (1996), 274.
- S. Koga and Y. Kuramoto, Prog. Theor. Phys. 63 (1980), 106[PTP].
- T. Ohta, M. Mimura and R. Kobayashi, Physica D34 (1989), 115.
- S. Amari, Biol. Cybernetics 27 (1977), 77.
- H. Sakaguchi, Prog. Theor. Phys. 100 (1998), 467[PTP].
-
C. Radehaus, R. Dohmen, H. Willebrand and F. J. Niedernostheide, Phys. Rev. A42 (1990), 7426[APS].
-
H. Willebrand, T. Hünteler, F. J. Nidernostheide, R. Dohmen and H. G. Purwins, Phys. Rev. A45 (1992), 8766[APS].
-
P. M. Duxbury, P. D. Beale and P. L. Leath, Phys. Rev. Lett. 57 (1986), 1052[APS].
-
D. Y. C. Chan, B. D. Hughes, L. Paterson and C. Sirakoff, Phys. Rev. A43 (1991), 2905[APS].
Citing Article(s) :
-
Progress of Theoretical Physics Vol. 117 No. 2 (2007) pp. 219-228
:
-
Pattern Formation in a Simple Electric Circuit Model of Barrier Discharge
-
Hidetsugu Sakaguchi